The quantum mechanical current of the Pauli equation
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1999-01-01
Autores
Nowakowski, Marek [UNESP]
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We argue that the process of constructing the quantum mechanical current of the Pauli equation by copying the line of argument used in the spin-0 case, i.e., the Schrödinger equation, is ambiguous. We show that a nonrelativistic reduction of the relativistic Dirac four-vector current is, however, capable of fully resolving the problem. This analysis reveals that the nonrelativistic current of the Pauli equation should include an extra term of the form ∇×(ψ†σψ). We present an initial exploration of the potential consequences of this new spin term by solving the Pauli equation for crossed magnetic and electric fields and calculating the corresponding current. © 1999 American Association of Physics Teachers.
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American Journal of Physics, v. 67, n. 10, p. 916-919, 1999.